Section 1: Multiple Choice questions

#1 Which of the following definitions matches the term?

Derivative of arctan(x)

DNE 1/(1+x^2) 1/(xln(a)) 1/(1+x^2)

#2 Which of the following definitions matches the term?

Derivative of arcsin(x)

1/sqrt(1-x^2) a^x ln(a) sinAcosB+cosAsinB -cosecxcotx

#3 Which of the following definitions matches the term?

sin(5x)/2x as x -> 0

1/(xln(a)) 1 1 5/2

#4 Which of the following definitions matches the term?

Derivative of arcsin(x)

(1/a)arctan(u/a) + C (secx)^2 1/sqrt(1-x^2) 1/sqrt(1-x^2)

#5 Which of the following definitions matches the term?

sin(5x)/2x as x -> 0

5/2 5/2 -(cosecx)^2 sinAcosB-cosAsinB

Section 2: True/false questions

#6 Determine if the following combination is true or false.

sin(5x)/5x as x -> 0

1

True

False

#7 Determine if the following combination is true or false.

x/sin(x) as x -> 0

1

True

False

#8 Determine if the following combination is true or false.

sin(x)/x as x -> 0

1/sqrt(1-x^2)

True

False

#9 Determine if the following combination is true or false.

sin(5x)/5x as x -> 0

sinAcosB-cosAsinB

True

False

#10 Determine if the following combination is true or false.

x/sin(x) as x -> 0

(1/a)arctan(u/a) + C

True

False

Section 1: Multiple Choice questions

Derivative of arctan(x)

Derivative of arcsin(x)

sin(5x)/2x as x -> 0

Derivative of arcsin(x)

sin(5x)/2x as x -> 0

Section 2: True/false questions

sin(5x)/5x as x -> 0

1

x/sin(x) as x -> 0

1

sin(x)/x as x -> 0

1/sqrt(1-x^2)

sin(5x)/5x as x -> 0

sinAcosB-cosAsinB

x/sin(x) as x -> 0

(1/a)arctan(u/a) + C

Triple-checked your answers?

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